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Finding the Third Proportional to 428,919.50 and 928,443

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Solution

The third proportional to 428,919.50 and 928,443 is: 2,009,716.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,919.50 : 928,443 = 928,443 : x
  2. Step 2: Convert to fraction form
    428,919.50/928,443 = 928,443/x
  3. Step 3: Cross multiply
    428,919.50x = 928,443 × 928,443
  4. Step 4: Simplify right side
    428,919.50x = 862,006,404,249
  5. Step 5: Solve for x
    x = 862,006,404,249/428,919.50
  6. Step 6: Final answer
    x = 2,009,716.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.